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Finding the Fourth Proportional to 23,807.64, 32,851.14 and 13,197.88

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Solution

The fourth proportional to 23,807.64, 32,851.14 and 13,197.88 is: 18,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.64 : 32,851.14 = 13,197.88 : x
  2. Step 2: Convert to fraction form
    23,807.64/32,851.14 = 13,197.88/x
  3. Step 3: Cross multiply
    23,807.64x = 32,851.14 × 13,197.88
  4. Step 4: Simplify right side
    23,807.64x = 433,565,403.58
  5. Step 5: Solve for x
    x = 433,565,403.58/23,807.64
  6. Step 6: Final answer
    x = 18,211.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.